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Finding the Fourth Proportional to 3,939.60, 5,908.02 and 1,165.53

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Solution

The fourth proportional to 3,939.60, 5,908.02 and 1,165.53 is: 1,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.60 : 5,908.02 = 1,165.53 : x
  2. Step 2: Convert to fraction form
    3,939.60/5,908.02 = 1,165.53/x
  3. Step 3: Cross multiply
    3,939.60x = 5,908.02 × 1,165.53
  4. Step 4: Simplify right side
    3,939.60x = 6,885,974.55
  5. Step 5: Solve for x
    x = 6,885,974.55/3,939.60
  6. Step 6: Final answer
    x = 1,747.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.